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If P = \(\begin{pmatrix} 5 & 3 \\ 2 & 1 \end{pmatrix}\) and Q =...

Mathematics
JAMB 2013

If P = \(\begin{pmatrix} 5 & 3 \\ 2 & 1 \end{pmatrix}\) and Q = \(\begin{pmatrix} 4 & 2 \\ 3 & 5 \end{pmatrix}\), find 2P + Q

  • A. \(\begin{vmatrix} 7 & 7 \\ 14 & 8 \end{vmatrix}\)
  • B. \(\begin{vmatrix} 14 & 8 \\ 7 & 7 \end{vmatrix}\)
  • C. \(\begin{vmatrix} 7 & 7 \\ 8 & 14 \end{vmatrix}\)
  • D. \(\begin{vmatrix} 8 & 14 \\ 7 & 7 \end{vmatrix}\)
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Correct Answer: Option B
Explanation

2P + Q = 2\(\begin{pmatrix} 5 & 3 \\ 2 & 1 \end{pmatrix}\) + \(\begin{pmatrix} 4 & 2 \\ 3 & 5 \end{pmatrix}\)

= \(\begin{pmatrix} 10 & 6 \\ 4 & 2 \end{pmatrix}\) + \(\begin{pmatrix} 4 & 2 \\ 3 & 5 \end{pmatrix}\)

= \(\begin{pmatrix} 14 & 8 \\ 7 & 7 \end{pmatrix}\)

There is an explanation video available below.


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Explanation Video

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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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